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1326403540 = 2257211711733
BaseRepresentation
bin100111100001111…
…0100111111010100
310102102212021121001
41033003310333110
510204024403130
6335341233044
744604146500
oct11703647724
93372767531
101326403540
116207a1680
12310262784
13181a50c87
14c8235300
157b6a86ca
hex4f0f4fd4

1326403540 has 144 divisors (see below), whose sum is σ = 3586633344. Its totient is φ = 407366400.

The previous prime is 1326403523. The next prime is 1326403549. The reversal of 1326403540 is 453046231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1326403499 and 1326403508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326403549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764514 + ... + 766246.

It is an arithmetic number, because the mean of its divisors is an integer number (24907176).

Almost surely, 21326403540 is an apocalyptic number.

1326403540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1326403540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793316672).

1326403540 is an abundant number, since it is smaller than the sum of its proper divisors (2260229804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1326403540 is a wasteful number, since it uses less digits than its factorization.

1326403540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1326403540 is about 36419.8234482267. The cubic root of 1326403540 is about 1098.7322971638.

Adding to 1326403540 its reverse (453046231), we get a palindrome (1779449771).

The spelling of 1326403540 in words is "one billion, three hundred twenty-six million, four hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 71 77 98 110 140 142 154 196 220 245 284 308 355 385 490 497 539 710 770 781 980 994 1078 1420 1540 1562 1733 1988 2156 2485 2695 3124 3466 3479 3905 4970 5390 5467 6932 6958 7810 8665 9940 10780 10934 12131 13916 15620 17330 17395 19063 21868 24262 27335 34660 34790 38126 38269 48524 54670 60655 69580 76252 76538 84917 95315 109340 121310 123043 133441 153076 169834 190630 191345 242620 246086 266882 339668 381260 382690 424585 492172 533764 615215 667205 765380 849170 861301 934087 1230430 1334410 1353473 1698340 1722602 1868174 2460860 2668820 2706946 3445204 3736348 4306505 4670435 5413892 6029107 6767365 8613010 9340870 9474311 12058214 13534730 17226020 18681740 18948622 24116428 27069460 30145535 37897244 47371555 60291070 66320177 94743110 120582140 132640354 189486220 265280708 331600885 663201770 1326403540